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...where the subscript of denotes a ''two particle system.''
Right... back to the work.How do you vary the expectation value in the equationThe total variation will split this part upintowhere the subscript of denotes a ''two particle system.''
Not sure if all these equations will show, the place seems sensitive to certain latex equations. If it doesn't work, I will take it out of its latex code so you can translate it.To give a hint in how to do this unification attempt, we have three key equations,1.These are the exact Christoffel symbols of the antisymmetric tensor indices .2.This was an equation derived by another author, finding the relationship in a different form argued from quantum mechanics. As you will see in key equation 3. the form has similarities to application of a Hilbert space ~3.\sqrt{|<\Delta X_A^2>< \Delta X_B^2>|} \geq \frac{1}{2} i(< \psi|X_AX_B|\psi > + <\psi|X_BX_A|\psi>) = \frac{1}{2} <\psi|[X_A,X_B]|\psi>Again, this is a Hilbert spacetime commutation relationship of operators which has to translate into the gravitational dynamics dictated by key equation 1.So let's put it altogether, its just like a jigsaw puzzle now. Implemented the Christoffel symbols in approach 1. into approach 2. we get In the framework of the Hilbert space it becomes - assuming everything has been done correct, takes the appearance of ~\sqrt{|<\nabla_i^2>< \nabla_j^2>|} \geq = \frac{1}{2} i(< \psi|\nabla_i\nabla_j|\psi > + <\psi|\nabla_j\nabla_i|\psi>) = \frac{1}{2} <\psi|[\nabla_i,\nabla_j]|\psi> = \frac{1}{2} <\psi | R_{ij}| \psi > = \frac{1}{2} < \psi |- [\partial_j, \Gamma_i] + [\partial_i, \Gamma_j] + [\Gamma_i, \Gamma_j]| \psi >without imaginary number on